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Correct Answer Logic:
Work done is equal to the change in kinetic energy ($\Delta KE$). First, find velocity $v = \frac{dx}{dt} = 6t$. At $t=0$, $v_i = 0$. At $t=5$, $v_f = 6(5) = 30\text{ m/s}$. $\Delta KE = \frac{1}{2}m(v_f^2 - v_i^2) = \frac{1}{2}(2)(30^2 - 0) = 900\text{ J}$.
Uploaded by: Fani Warraich
Paper-I (Pharmaceutics II (Industrial and Quality Control) and Pharmaceutics III (Hospital and Community Pharmacy)) QUESTION #5723
Question 2442
A pharmacist is reviewing the Hospital Formulary. Which part of the formulary would contain 'Nutrition products and hospital abbreviations'?
  • Part-1
  • Part-2
  • Part-3✔️
  • The Preface
Correct Answer Logic:
Part-3 of the Hospital Formulary contains special information like nutrition products and abbreviations.
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Mathematics QUESTION #7469
Question 2443
For any \(\theta \in (\frac{\pi}{4}, \frac{\pi}{2})\), the expression \(3(\sin\theta - \cos\theta)^4 + 6(\sin\theta + \cos\theta)^2 + 4\sin^6\theta\) equals:
  • 13 - 4cos²θ + 6sin²θcos²θ✔️
  • 13 - 4cos⁶θ
  • 13 - 4cos²θ + 6cos⁴θ
  • 13 - 4cos⁴θ + 2sin²θcos²θ
Correct Answer Logic:
Expanding each term: \((\sin\theta-\cos\theta)^4 = \sin^4\theta - 4\sin^3\theta\cos\theta + 6\sin^2\theta\cos^2\theta - 4\sin\theta\cos^3\theta + \cos^4\theta\), \((\sin\theta+\cos\theta)^2 = \sin^2\theta + 2\sin\theta\cos\theta + \cos^2\theta = 1 + 2\sin\theta\cos\theta\). Combining and simplifying using \(\sin^2\theta + \cos^2\theta = 1\) and algebraic manipulation gives: \(13 - 4\cos^2\theta + 6\sin^2\theta\cos^2\theta\).
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Correct Answer Logic:
The two parts of the sentence contrast common usage with scientific accuracy, requiring 'however.'
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General Ability and Fire Fighting QUESTION #5625
Question 2445
A CO2 extinguisher works on electrical fires primarily because CO2 is:
  • A cooling agent
  • Electrically non-conductive✔️
  • A chemical inhibitor
  • A fuel absorber
Correct Answer Logic:
CO2 is electrically non-conductive
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Paper-I (Anatomy/Physiology and Biochemistry/Microbiology) QUESTION #3209
Question 2446
'Micelles' are small droplets essential for the absorption of:
  • Proteins
  • Carbohydrates
  • Fats and Fat-soluble vitamins✔️
  • Water
Correct Answer Logic:
Bile salts form micelles to transport fatty acids to the intestinal surface.
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Chemistry QUESTION #5523
Question 2447
Identify the reaction that is NOT part of the ozone layer depletion mechanism in the stratosphere.
  • $CF_2Cl_2(g) \xrightarrow{hv} \cdot Cl(g) + \cdot CF_2Cl(g)$
  • $Cl\dot{O}(g) + O(g) \rightarrow \cdot Cl(g) + O_2(g)$
  • $CH_4 + 2O_3 \rightarrow 3\,CH_2{=}O + 3H_2O$✔️
  • $HOCl(g) \xrightarrow{hv} \cdot OH(g) + \cdot Cl(g)$
Correct Answer Logic:
The ozone depletion cycle involves: (A) CFCs releasing Cl radicals under UV, (B) ClO reacting with O atom to regenerate Cl radical (chain propagation), (D) HOCl photolysis to give OH and Cl radicals — all are real steps. Option (C), the reaction of $CH_4$ with $O_3$ to give formaldehyde and water, is NOT a recognized step in stratospheric ozone depletion chemistry.
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Physics QUESTION #389
Question 2448
Two waves of slightly different frequencies and traveling in same direction produce ________
  • Interference
  • Polarization
  • Stationary waves
  • Beats✔️
Correct Answer Logic:
Beats are produced by waves of slightly different frequencies
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Urdu QUESTION #5074
Question 2449
معاشرہ عربی زبان کا لفظ ہے، اس کے لغوی معنی کیا ہیں؟
  • بہت سارے لوگوں کا اجتماع
  • مل جل کر رہنا✔️
  • خاندان
  • ان میں سے کوئی نہیں
Correct Answer Logic:
معاشرہ عربی میں عشرت سے نکلا ہے جس کے معنی ہیں مل جل کر رہنا، ساتھ بسر کرنا۔
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General Abilities QUESTION #4621
Question 2450
What is $20\%$ of $20\%$ of $100$?
  • $4$✔️
  • $40$
  • $20$
  • $8$
Correct Answer Logic:
$20\%$ of $100 = 20$. Then $20\%$ of $20 = 0.2 \times 20 = 4$
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Correct Answer Logic:

Option C ($1,000,000) is correct.

CS ratio = ($800,000 − $480,000) ÷ $800,000 = 40%

Required sales = (Fixed costs + Target profit) ÷ CS ratio = ($280,000 + $200,000) ÷ 0.40 = $1,000,000

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Biology QUESTION #7237
Question 2452
The thalloid body of a slime mould (Myxomycetes) is known as:
  • Fruiting body
  • Mycelium
  • Protonema
  • Plasmodium✔️
Correct Answer Logic:
In slime moulds (Myxomycetes), the vegetative body is a plasmodium — a multinucleate, acellular mass of protoplasm that moves and engulfs food. It is not a true mycelium (fungal hyphae network) nor a protonema (moss juvenile stage).
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Correct Answer Logic:

Velocity at $t = 10\text{ s}$:

$\vec{v} = (3+0.4\times10)\hat{i} + (4+0.3\times10)\hat{j} = 7\hat{i}+7\hat{j}$

Speed $= \sqrt{7^2+7^2} = \sqrt{98} = \mathbf{7\sqrt{2}}$ units

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Correct Answer Logic:
Automatic stabilisers are built-in features of the fiscal system (taxation and government spending) that automatically moderate business cycle fluctuations. Examples include progressive income taxes (tax revenues fall automatically in recessions, reducing the tax burden) and unemployment benefits (government spending automatically rises in downturns, supporting demand). They are fiscal policy tools — not monetary, trade, or investment policy instruments.
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Correct Answer Logic:
'Adapt' means to adjust; 'adopt' means to take as one's own; 'adept' means skilled.
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Information Technology QUESTION #1129
Question 2456
Which technique works by selecting the local optimal choice at each step?
  • Dynamic Programming
  • Divide and Conquer
  • Greedy Algorithm✔️
  • None of these
Correct Answer Logic:
A Greedy Algorithm makes the choice that looks best at the current moment with the hope that these local optimal choices will lead to a global optimum.
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Pakistan Affairs QUESTION #304
Question 2457
What are the primary grievances of the Baloch insurgents?
  • Economic Disparities and resource exploitation✔️
  • Religious differences
  • International border disputes
  • Cultural identity issues
Correct Answer Logic:
Grievances center on the lack of control over local resources like gas and minerals.
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Math Physics Chemistry Biology QUESTION #528
Question 2458
In general, asexual reproduction is common in
  • Humans
  • Basidiomycota
  • Deuteromycota✔️
  • Basidiospores
Correct Answer Logic:
Deuteromycota (Fungi Imperfecti) reproduce asexually
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Correct Answer Logic:
There were 7 originally; after merger, none. Key says Three.
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Correct Answer Logic:

Option B is correct.

A key advantage of a sole trader is that it is easy to set up. A key disadvantage is no one to share the workload.

  • A: Sole traders are NOT required to publish financial statements. Complete control is an advantage, not a disadvantage.
  • C: Separate legal identity belongs to limited companies.
  • D: Unlimited liability is a disadvantage, not an advantage.
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